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Title: Hybrid simulation of energetic particles interacting with magnetohydrodynamics using a slow manifold algorithm and GPU acceleration

Journal Article · · Computer Physics Communications

The hybrid method combining particle-in-cell and magnetohydrodynamics can be used to study the interaction between energetic particles and global plasma modes. In this paper we introduce the M3D-C1-K code, which is developed based on the M3D-C1 finite element code solving the magnetohydrodynamics equations, with a newly developed kinetic module simulating energetic particles. The particle pushing is done using a new algorithm by applying the Boris pusher to the classical Pauli particles to simulate the slow-manifold of particle orbits, with long-term accuracy and fidelity. The particle pushing can be accelerated using GPUs with a significant speedup. The moments of the particles are calculated using the δƒ method, and are coupled into the magnetohydrodynamics simulation through pressure or current coupling schemes. Several linear simulations of magnetohydrodynamics modes driven by energetic particles have been conducted using M3D-C1-K with the δƒ method, including fishbone, toroidal Alfvén eigenmodes and reversed shear Alfvén eigenmodes. Good agreement with previous results from other eigenvalue, kinetic and hybrid codes have been achieved.

Research Organization:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC02-09CH11466; AC05-00OR22725
OSTI ID:
1869943
Journal Information:
Computer Physics Communications, Journal Name: Computer Physics Communications Vol. 275; ISSN 0010-4655
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (29)

Hybrid Simulations of the Effects of Energetic Particles on Low-Frequency MHD Waves journal September 1997
Gyrokinetic particle simulation model journal September 1987
Semi-implicit magnetohydrodynamic calculations journal June 1987
Slow manifolds of classical Pauli particle enable structure-preserving geometric algorithms for guiding center dynamics journal August 2021
The XTOR code for nonlinear 3D simulations of MHD instabilities in tokamak plasmas journal July 2008
Calculations of two-fluid magnetohydrodynamic axisymmetric steady-states journal November 2009
The development of an implicit full f method for electromagnetic particle simulations of Alfvén waves and energetic particle physics journal September 2021
Variational principles of guiding centre motion journal February 1983
Pullback transformations in gyrokinetic theory journal March 2004
Gyro-kinetic simulation of global turbulent transport properties in tokamak experiments journal September 2006
Variational symplectic algorithm for guiding center dynamics and its application in tokamak geometry journal April 2009
Phase-space dynamics of runaway electrons in tokamaks journal September 2010
Why is Boris algorithm so good? journal August 2013
Deflection of high-intensity pulsed ion beam in focusing magnetically insulated ion diode with a passive anode journal December 2016
Fast-ion transport by Alfvén eigenmodes above a critical gradient threshold journal May 2017
Degenerate variational integrators for magnetic field line flow and guiding center trajectories journal May 2018
Guiding center dynamics as motion on a formal slow manifold in loop space journal January 2020
Three‐dimensional hybrid gyrokinetic‐magnetohydrodynamics simulation journal March 1992
Hybrid magnetohydrodynamic‐gyrokinetic simulation of toroidal Alfvén modes journal October 1995
Linear and nonlinear particle-magnetohydrodynamic simulations of the toroidal Alfvén eigenmode journal May 1998
Plasma simulation studies using multilevel physics models journal May 1999
Normal stability of slow manifolds in nearly periodic Hamiltonian systems journal September 2021
MHD stability in X-point geometry: simulation of ELMs journal June 2007
A new particle simulation scheme using electromagnetic fields journal January 2019
Benchmark of gyrokinetic, kinetic MHD and gyrofluid codes for the linear calculation of fast particle driven TAE dynamics journal October 2018
Verification and validation of integrated simulation of energetic particles in fusion plasmas journal April 2019
Multiple timescale calculations of sawteeth and other global macroscopic dynamics of tokamak plasmas journal January 2012
Variational Symplectic Integrator for Long-Time Simulations of the Guiding-Center Motion of Charged Particles in General Magnetic Fields journal January 2008
Observation of Critical-Gradient Behavior in Alfvén-Eigenmode-Induced Fast-Ion Transport journal February 2016